A canonical decomposition for linear operators and linear relations

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dc.creatorHassi, S.
dc.creatorSebestyén, Z.
dc.creatorde Snoo, H. S. V.
dc.creatorSzafraniec, F. H.
dc.date2006-11-02
dc.date.accessioned2026-07-07T07:32:26Z
dc.date.available2026-07-07T07:32:26Z
dc.descriptionAn arbitrary linear relation (multivalued operator) acting from one Hilbert space to another Hilbert space is shown to be the sum of a closable operator and a singular relation whose closure is the Cartesian product of closed subspaces. This decomposition can be seen as an analog of the Lebesgue decomposition of a measure into a regular part and a singular part. The two parts of a relation are characterized metrically and in terms of Stone's characteristic projection onto the closure of the linear relation.
dc.descriptionto appear in Acta Math. Hungarica, volume 116(1-2)
dc.identifierhttps://arxiv.org/abs/math/0611045
dc.identifierhttp://arxiv.org/abs/math/0611045
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119114
dc.subjectFunctional Analysis
dc.subjectMathematical Physics
dc.subject47A05, 47A06
dc.titleA canonical decomposition for linear operators and linear relations
dc.typetext

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